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Finding the Fourth Proportional to 311,938.77, 430,277.31 and 204,515.76

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Solution

The fourth proportional to 311,938.77, 430,277.31 and 204,515.76 is: 282,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938.77 : 430,277.31 = 204,515.76 : x
  2. Step 2: Convert to fraction form
    311,938.77/430,277.31 = 204,515.76/x
  3. Step 3: Cross multiply
    311,938.77x = 430,277.31 × 204,515.76
  4. Step 4: Simplify right side
    311,938.77x = 87,998,491,065.41
  5. Step 5: Solve for x
    x = 87,998,491,065.41/311,938.77
  6. Step 6: Final answer
    x = 282,101.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.